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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhy do we divide by (r!) while deriving (^{n}C_r=\frac{n!}{r!(n-r)!})?Class 11Permutations and CombinationsDerivations of formulas and their connectionsHard MathematicsWhich statement best describes the relation among (^{n}C_r), (^{n}P_r), and (r!)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf it is said that (^{n}P_4=360\times{}^{n}C_4), what type of statement is it?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (n) objects are divided into (3) labelled groups of sizes (a), (b), (c), which formula is correct?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf among (10) letters (4) letters are identical of one type and (3) letters are identical of another type, which is the arrangement formula?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (^{n}C_r=^{n-1}C_{r-1}+Y), what is (Y)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsWhich statement is most correct about the connection between (^{n}C_r) and (^{n}P_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf (n) objects are divided into (3) labelled groups of sizes (a), (b), (c), what is the form of the denominator?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf among (9) letters (3) letters are identical of one type and (2) letters are identical of another type, which is the arrangement formula?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsBy which formula connection can (^{10}P_3\div3!) be directly called (^{10}C_3)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsMedium MathematicsIf among (8) letters (A) is identical (2) times and (B) is identical (3) times what is the formula for arrangements?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsWhich is the simplified form of (^{n}C_3)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsWhich relation correctly connects (^{n}P_r) and (^{n}C_r)?Class 11Permutations and CombinationsDerivations of formulas and their connectionsEasy MathematicsChoose (4) numbers from (1) to (20) so that no two are consecutive. How many selections are possible?Class 11Permutations and CombinationsCombinationsExpert MathematicsWhat is the number of arrangements of (12) objects if (4) are identical of one kind, (3) are identical of another kind, (2) are identical of a third kind, and the rest are distinct?Class 11Permutations and CombinationsPermutationsHard MathematicsThe number of symmetric relations on (A={1,2,3,4}) is equal to which expression?Class 11Relations and FunctionsRelationsExpert MathematicsIf (|A|=n), what is the total number of relations on (A)?Class 11Relations and FunctionsRelationsMedium MathematicsIf (n(A\times B)=15) and (n(A)=5), what is (n(B))?Class 11Relations and FunctionsCartesian product of setsEasy MathematicsIf (n(A\times B)=8) and (n(B)=2), what is (n(A))?Class 11Relations and FunctionsCartesian product of setsEasy MathematicsIf (n(A)=m) and (n(B)=n), what is the formula for (n(A\times B))?Class 11Relations and FunctionsCartesian product of setsEasy